What is the standard form of the number shown in this calculator display?

The calculator shows five point nine three e negative five

Answer:

  (-∞, -5) ∪ (-2, 2)

Step-by-step explanation:

A function is "decreasing" where its slope is negative. That is, the curve goes downward to the right. The parts of the curve with negative slope are marked in the attachment with blue arrows.

The intervals for which the function is decreasing are bounded by either of (a) the domain bounds, or (b) critical points, where the slope is either zero or undefined.

Here, the slope is negative for -∞ < x < -5, and for -2 < x < 2. Note that the "or equal to" case is excluded from these intervals, because the slope is actually 0 at the critical points; it is not negative.

In interval notation, these open intervals are written ...

  (-∞, -5) ∪ (-2, 2)

_____

Additional comment

The function is "increasing" where it has positive slope. The other two intervals of this graph are where the function is increasing:

  (-5, -2) ∪ (2, ∞)

Answer:

The correct option is A. Parallel line.

The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

55

Step-by-step explanation:

180=35+90+m∠3

Answer:

A) t = 0.25 s

B) h = 25 m

Step-by-step explanation:

Given equation:  \(h(t) = -16t^2 + vt + s\)

where:

A)  To find the value of t when h is at its maximum, differentiate the equation with respect to t:

\(\implies h'(t)=-32t+v\)

Substitute given value of v:

\(\implies h'(t)=-32t+8\)

Set to zero and solve for t:

\(\implies -32t+8=0\)

\(\implies t=0.25 \textsf{s}\)

B)  Substitute the found value for t into the equation and solve for h:

\(\implies h(0.25) = -16(0.25)^2 + 8(0.25) + 24\)

\(\implies h(0.25) = -1 + 2 + 24\)

\(\implies h(0.25) =25 \textsf{ m}\)

Answer:

A. Rebate

Step-by-step explanation:

Rebate is when you give back some of the money used to purchase or pay for something, which is promotion 2 in this case

The given points are (-3,2) and (5, -2).

We use the distance formula

Where,

Replacing the coordinates in the formula, we have.

The solution to the equation as given in the task content is; x = -3.47.

It follows from the task content that the equation given is; (43/7÷ x+32/9) ÷25/6=4/3

(43/7÷ x+32/9) = 25/6 × 4/3

(43/7÷ x+32/9) = 100/18

x +32/9 = 43/7 ÷ 100/18

x + 32/9 = 774/700

x = 774/700 - 32/9

x = -3.47.

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The map with a scale of 1 inch to 500 feet is larger because it represents a scale factor of 2.

In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths or diameter in two similar geometric figures such as bridges, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

For instance, a function y = f(x) representing a map can be horizontally enlarged (increased or stretched) by a factor of "k" based on the following transformation rule;

y = f(x/k)

Scale factor, k = 1000/500

Scale factor, k = 2.

In this context, we can reasonably infer and logically deduce that a map that has a scale of 1 inch to 500 feet is larger than a map with a scale of 1 inch to 1,000 feet.

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Answer:

4:25 I think

Step-by-step explanation:

just added them all up I don't know if that's what you needed yho

Answer:

15:85 or 4:25

Step-by-step explanation:

jfhfjfjfjfjfndndndndndjdjfjfnnfjfjdjfjfjf

The inequality that represents the graph will be y ≤ -(3/4)x + 2.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The line is passing through points (0, 2) and (4, -1). Then the equation of the line is given as,

(y - 2) = [(- 1 - 2) / (4 - 0)](x - 0)

y - 2 = -(3/4)x

y = -(3/4)x + 2

The region below the line and points on the line is considered. Then the linear inequality is written as,

y ≤ -(3/4)x + 2

The inequality that represents the graph will be y ≤ -(3/4)x + 2.

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Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period = π, Frequency = 1/π,  equation -4cos(2x) + 1:

Sinusoidal Functions

It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.

The graph shown can give us all the information we need to answer these questions:

Maximum: 1

Minimum: -3

The midline goes through the center value (mean) of the max and min values, i.e.

Equation of the midline:

y = (1-3)/2

y = -1

Amplitude is the difference between the maximum and minimum values

A =4

The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at  x = π

Thus the period is

T = π

The frequency is the reciprocal of the period:

f = 1/T = 1/π

The angular frequency is

ω = 2πf

ω = 2

The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:

f(x) = -4cos(2x) + 1

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Answer:

An easy way to solve this problem is divide $23.25 by 3 or $54.25 by 7. Either way, you get $7.75. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:

$7.75x = y

Step-by-step explanation:

Answer: y = 7.75x

Step-by-step explanation:

Find the difference of charges between 6 hours and 8 hours

62-46.5 = 15.5 for 2 hours

15.5/2 = 7.75/hr

62 = 7.75 x 8

Therefore there is no initial charge, and that the relationship is linear

so y = 7.75x

Question 36.

Given the function:

Let's graph the function.

Let's graph the function using desmos, then label the following:

• 1. Points of inflection

• 2. Critical points

• 3. Local extremes

• 4. Asymptotes

• The inflection points are the points the function changes concavity.

• The local minimum is the point where the minimum value is obtained.

• The critical point is the point the function changes direction.

• There is no vertical or horizontal asymptote.

ANSWER:

• The inflection points are the points the function changes concavity.

• The local minimum is the point where the minimum value is obtained.

• The critical point is the point the function changes direction.

• There is no vertical or horizontal asymptote.

The 9th term of the given sequence is 78732.

The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:

aₙ = a₁rⁿ⁻¹

Here, a₁ = 12 and r = 3.

Therefore, the formula for the nth term becomes:

aₙ = 12(3)ⁿ⁻¹

Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:

a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732

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Answer:

D

Step-by-step explanation:

simply take LCM and solve it

Answer:

\(\boxed{\dfrac{27}{4}}\)

Step-by-step explanation:

\(\large2(x + 4 ) - ( y \times 8 )\)

Substitute the values in the expression

\(\rightarrow 2\huge{\text{[}\huge{\text{(}\dfrac{1}{8}\huge{\text{)}+ 4 \huge{\text{]} - \huge{\text{[}\huge{\text{(}\dfrac{3}{16}}\huge{\text{)} \times 8 \huge{\text{]}\)

Open the parenthesis

\(\rightarrow 2\huge{\text{[}\dfrac{1}{8}+ 4 \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{16}}\huge{\text{} \times 8 \huge{\text{]}\)

Simplify the subtrahend

\(\rightarrow 2\huge{\text{[}\dfrac{1}{8}+ \dfrac{4}{1} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{2}}\huge{\text{} \times 1 \huge{\text{]}\)

Make common denominators in the minuend.

\(\rightarrow 2\huge{\text{[}\dfrac{1}{8}+ \dfrac{32}{8} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{2}}\huge{\text{} \huge{\text{]}\)

Simplify the minuend.

\(\rightarrow 2\huge{\text{[}\dfrac{33}{8} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{2}}\huge{\text{} \huge{\text{]}\)

\(\rightarrow \huge{\text{[}\dfrac{66}{8} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{3}{2}}\huge{\text{} \huge{\text{]}\)

Make common denominators

\(\rightarrow \huge{\text{[}\dfrac{33}{4} \huge{\text{]} - \huge{\text{[}\huge{\text{}\dfrac{6}{4}}\huge{\text{} \huge{\text{]}\)

Open the brackets

\(\rightarrow \dfrac{33}{4} - \dfrac{6}{4}\)

Subtract

\(\rightarrow \boxed{\dfrac{27}{4}}\)

Answer:

x = 7/-p

Step-by-step explanation:

-(px - 2) = 9

-px + 2 = 9

-px = 7

x = \(-\frac{7}{p}\)

Answer:

x = -7/p

Step-by-step explanation:

We have:

-(px - 2) = 9

Divide both sides by -1:

px - 2 = -9

Add 2 to both sides:

px = -7

Divide by p:

x = -7/p

p is a real number coefficient, which means it can be any kind of fraction, decimal, or integer as long as it doesn't contain any imaginary part, i.

So, we have x = -7/p.

~ an aesthetics lover

Answer:

0.1764

Step-by-step explanation:

This problem meets requirement that enables us to use the binomial probability relation :

Probability of success, p = 17% = 0.17

number of trials = 9

(1 - p) = 1 - 0.17 = 0.83

The binomial probability relation :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 9C3 * 0.17^3 * 0.83^6

P(x = 3) = 84 * 0.001606258054361897

P(x = 3) = 0.134925676566399348

P(x = 3) = 0.13492

P(x = 4) = 9C4 * 0.17^4 * 0.83^5

P(x = 4) = 126 * 0.000328992613544003

P(x = 4) = 0.041453069306544378

P(x = 4) = 0.04145

P(x = 3 or x = 4) = P(x = 3) + p(x = 4)

= 0.13492 + 0.04145

= 0.17637

= 0.1764

The answer for it is diagram B because it does not cross or have parallel lines

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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Answer:

43 °

Step-by-step explanation:

In the statement they mention the height and in addition to that the horizontal distance where a right triangle is formed, therefore we can apply a trigonometric ratio to calculate the angle, in this case it is the tangent, which relates the two legs of the angle:

Tan A ° = opposite / adjacent

opposite = 66, adjacent = 72, replacing we have:

Tan A ° = 66/72 = 0.9166

A ° = arc tan (0.9166)

A ° = 42.51

That is, the angle of elevation is 43 °

Answer:

e = 3

Step-by-step explanation:

Use the property of the proportion to find e (cross-multiply):

\(10 \times e = 6 \times 5\)

\(10e = 30\)

Divide both sides of the equation by 10 to make e the subject:

\(e = 3\)

Answer:

3

Step-by-step explanation:

6 x 10 = 60

6 x 5 = 30

5/10 = 30/60

30/ 10= 3

60/ 10 = 6

E/6 = 3/6

E=3